189224 has 32 divisors (see below), whose sum is σ = 422400. Its totient is φ = 77760.

The previous prime is 189223. The next prime is 189229. The reversal of 189224 is 422981.

189224 = 2³ + 3³ + ... + 29³.

189224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 435²-1.

It is a junction number, because it is equal to n+sod(n) for n = 189193 and 189202.

It is not an unprimeable number, because it can be changed into a prime (189223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1682 + ... + 1790.

It is an arithmetic number, because the mean of its divisors is an integer number (13200).

2¹⁸⁹²²⁴ is an apocalyptic number.

189224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211200).

189224 is an abundant number, since it is smaller than the sum of its proper divisors (233176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

189224 is a wasteful number, since it uses less digits than its factorization.

189224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 189224 is about 434.9988505732. The cubic root of 189224 is about 57.4105983093.

The spelling of 189224 in words is "one hundred eighty-nine thousand, two hundred twenty-four".